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Finding the Fourth Proportional to 416,582.19, 624,744.50 and 150,308.87

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Solution

The fourth proportional to 416,582.19, 624,744.50 and 150,308.87 is: 225,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,582.19 : 624,744.50 = 150,308.87 : x
  2. Step 2: Convert to fraction form
    416,582.19/624,744.50 = 150,308.87/x
  3. Step 3: Cross multiply
    416,582.19x = 624,744.50 × 150,308.87
  4. Step 4: Simplify right side
    416,582.19x = 93,904,635,958.45
  5. Step 5: Solve for x
    x = 93,904,635,958.45/416,582.19
  6. Step 6: Final answer
    x = 225,416.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.